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Bifurcations of Relaxation Oscillations near Folded Saddles
Folded Saddles Relaxation Oscillations
2015/8/25
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems
that contain both slow and fast segments. The slow-fast decomposition of these orbits is
de ned in the singular l...
On the Bifurcations of a Hanmiltionian Having Three Homoclinic Loops Under $Z_3$ Invariant Quintic Perturbations
homoclinic loop bifurcation heteroclinic loop bifurcation Hopf bifurcation stability limit cycles
2007/12/11
A cubic system having three homoclinic loops perturbed by $Z_3$ invariant quintic polynomials is considered. By applying the qualitative method of differential equations and the numeric computing meth...
